| 1857
...their revolutions bear a determinate relation to their distances from the sun; and (3), that a radius **drawn from the sun to a planet sweeps out equal areas in equal times.** The consideration of these laws, combined with those of falling bodies, led Newton to the hypothesis... | |
| William Francis Magie - 1911 - 570 páginas
...The path of a planet is an ellipse, with one of its foci situated in the sun. 2. The radius vector **drawn from the sun to a planet sweeps out equal areas in equal times.** 3. The squares of the periodic times of the planets are proportional to the cubes of the semi-major... | |
| William Francis Magie - 1911 - 570 páginas
...The path of a planet is an ellipse, with one of its foci situated in the sun. 2. The radius vector **drawn from the sun to a planet sweeps out equal areas in equal times.** 3. The squares of the periodic times of the planets are proportional to the cubes of the semi-major... | |
| Devendra Náth Mallik - 1921 - 233 páginas
...orbits of the planets are ellipses (with the sun at one of the focii). (2) The radius vector joining **the sun to a planet sweeps out equal areas in equal times.** (8) The square of the time taken by a planet to complete its orbit is proportional to the cube of its... | |
| I. Bernard Cohen - 1983 - 404 páginas
...science. For instance, Kepler found that planets move in ellipses with the sun at one focus, and that a **line drawn from the sun to a planet sweeps out equal areas in equal times.** Both of these laws encompass actual observations within a mathematical framework. The area law enabled... | |
| Frank Durham, Robert D. Purrington - 1985 - 284 páginas
...planet moves in an orbit that is an ellipse, with the sun at one focus of the ellipse. Second Law. A **line drawn from the sun to a planet sweeps out equal areas in equal times.** Third Law. The periods of the planets increase uniformly with increasing distance from the sun, the... | |
| Jerrold Marsden, A. Weinstein - 1998 - 345 páginas
...lim,^00Ar(/) when it exists. 84. Kepler's second law of planetary motion says that the radial segment **drawn from the sun to a planet sweeps out equal areas in equal times.** Locate the origin (0,0) at the sun and introduce polar coordinates (y, 9) for the planet location.... | |
| Richard P. Olenick, Tom M. Apostol, David L. Goodstein - 1985 - 584 páginas
...coordinates: = J$±LJ?L 1 + e cos 9 Kepler's second law of planetary motion states that the radius vector **from the sun to a planet sweeps out equal areas in equal times.** We now know that it's rooted in the deeper principle of conservation of angular momentum and can be... | |
| David Park - 1990 - 459 páginas
...of Kepler's first two laws of planetary motion, that the planets move in ellipses and that the line **from the sun to a planet sweeps out equal areas in equal times.** Let us look first at the area law, for it turns out to be the more general, being true for any kind... | |
| Jerzy Brzeziński - 1990 - 193 páginas
...The planets move in elliptical orbits, with the sun in one focus of the ellipse. K2 The radius vector **from the sun to a planet sweeps out equal areas in equal times.** K3 The ratio of the square of the period to the cube of the semimajor axis of the ellipse (ie, to the... | |
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